42009528 has 64 divisors (see below), whose sum is σ = 115240320. Its totient is φ = 12656000.

The previous prime is 42009509. The next prime is 42009571. The reversal of 42009528 is 82590024.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 42009495 and 42009504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59578 + ... + 60278.

It is an arithmetic number, because the mean of its divisors is an integer number (1800630).

Almost surely, 2^42009528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42009528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57620160).

42009528 is an abundant number, since it is smaller than the sum of its proper divisors (73230792).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42009528 is a wasteful number, since it uses less digits than its factorization.

42009528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 42009528 is about 6481.4757578811. The cubic root of 42009528 is about 347.6289478837.

The spelling of 42009528 in words is "forty-two million, nine thousand, five hundred twenty-eight".